$$ \begin{aligned} 625 &= \frac{m}{200}\cdot\frac{1}{35}&& \text{multiply ALL terms by } \color{blue}{ 1400 }. \\[1 em]1400\cdot625 &= 1400 \cdot \frac{m}{200}\cdot\frac{1}{35}&& \text{cancel out the denominators} \\[1 em]875000 &= \frac{m}{5}&& \text{multiply ALL terms by } \color{blue}{ 5 }. \\[1 em]5\cdot875000 &= 5 \cdot \frac{m}{5}&& \text{cancel out the denominators} \\[1 em]4375000 &= m&& \text{ swap the left and right side of the equation } \\[1 em]m &= 4375000&& \\[1 em]m &= 4375000&& \\[1 em] \end{aligned} $$
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